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Finding the Fourth Proportional to 9,292.05, 12,821.09 and 5,890.12

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Solution

The fourth proportional to 9,292.05, 12,821.09 and 5,890.12 is: 8,127.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.05 : 12,821.09 = 5,890.12 : x
  2. Step 2: Convert to fraction form
    9,292.05/12,821.09 = 5,890.12/x
  3. Step 3: Cross multiply
    9,292.05x = 12,821.09 × 5,890.12
  4. Step 4: Simplify right side
    9,292.05x = 75,517,697.13
  5. Step 5: Solve for x
    x = 75,517,697.13/9,292.05
  6. Step 6: Final answer
    x = 8,127.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.